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arXiv 1107.3486hep-ph
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基于T2K的离散味对称性

Discrete Flavour Symmetries in Light of T2K

Reinier de Adelhart Toorop, Ferruccio Feruglio, Claudia Hagedorn

摘要:

我们表明,一个非零的角度θ_13的顺序0.1可以预测的框架中的离散味对称。我们假设左手轻子在群G_f下变换为三重态,而群G_f是以中微子和带电轻子扇区分别在G_f的子群G_nu和G_e下保持不变的方式断开的。在此极限下,确定了混合角和Dirac CP破坏相delta_CP。通过选择G_f=Delta(6 n^2)(n= 4,8),G_nu=Z_2 x Z_2和G_e=Z_3,我们发现当n=4(8)时sin^2 θ_13 =0.045(0.011)。同时,θ_23和θ_12仍然接近于它们的实验最佳拟合值,特别是在n=8的情况下,其中sin^2 θ_23 = 0.424,sin^2 θ_12 = 0.337。delta_CP被预测为0或pi,使得CP在我们的示例中是守恒的。

英文摘要:

We show that a non-vanishing angle theta_13 of order 0.1 can be predicted in the framework of discrete flavour symmetries. We assume that left-handed leptons transform as triplets under a group G_f which is broken in such a way that neutrino and charged lepton sectors remain invariant under the subgroups G_nu and G_e of G_f, respectively. In this limit mixing angles and the Dirac CP violating phase delta_CP are determined. By choosing G_f=Delta(6 n^2) (n=4,8), G_nu=Z_2 x Z_2 and G_e=Z_3 we find sin^2 theta_13=0.045(0.011) for n=4(8). At the same time theta_23 and theta_12 remain close to their experimental best fit values, particularly in the case n=8, where sin^2 theta_23 = 0.424 and sin^2 theta_12 = 0.337. delta_CP is predicted to be 0 or pi so that CP is conserved in our examples.

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